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Updated: May 11, 2025

Patterning of Microorganisms and Microparticles through Sequential Capillarity-assisted Assembly
Published on: November 4, 2021
Percolation and jamming in random sequential adsorption of straight k-mers on square, triangular, and cubic lattices
Zbigniew Koza1, Grzegorz Kondrat1
1University of Wrocław, Faculty of Physics and Astronomy, 50-204 Wrocław, Poland.
Abstract:
Random sequential adsorption (RSA) is one of the most widely used theoretical models of macromolecule and particle adsorption. Here we consider jammed (saturated) states of the RSA process of aligned, nonoverlapping k-mers (linear objects occupying k consecutive lattice sites) in square, triangular, and cubic lattices and show that each k-mer in such a state belongs to a percolating cluster. We also discuss several generalizations of our approach, including a hypercubic lattice and models with several different k-mer lengths.
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